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<b>let </b><font color="Maroon">A</font> be  non <a href="struct_0.html#V3">empty</a> <a href="altcat_1.html#V2">transitive</a> <a href="altcat_1.html#V12">with_units</a>  <a href="altcat_1.html#L2">AltCatStr</a> ;<br/><b>let </b><font color="Maroon">B</font> be  non <a href="struct_0.html#V3">empty</a> <a href="altcat_1.html#V2">transitive</a> <a href="altcat_1.html#V12">with_units</a>  <a href="altcat_1.html#L2">AltCatStr</a> ;<br/><b>let </b><font color="Maroon">F1</font> be  <a href="functor0.html#V15">covariant</a>  <a href="functor0.html#M2">Functor</a> of <font color="Maroon">A</font>,<font color="Maroon">B</font>;<br/><b>let </b><font color="Maroon">F2</font> be  <a href="functor0.html#V15">covariant</a>  <a href="functor0.html#M2">Functor</a> of <font color="Maroon">A</font>,<font color="Maroon">B</font>;<br/><b>let </b><font color="Maroon">p</font> be    <a href="functor2.html#M1">transformation</a> of <font color="Maroon">F1</font>,<font color="Maroon">F2</font>;<br/>









<b>assume </b><a NAME="E1:35"/><i><font color="Green">E31</font></i>: 
<font color="Maroon">F1</font> <a href="functor2.html#R1">is_transformable_to</a> <font color="Maroon">F2</font>
 ;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="35_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">i</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>assume </b><a NAME="E1:35_1"/>
<font color="Maroon">i</font> <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">A</font>
 ;<br/><b>then reconsider </b><font color="Maroon">a</font> = <font color="Maroon">i</font> as   <a href="altcat_1.html#NM1">object</a> of <font color="Maroon">A</font> ;<br/><a NAME="E3:35_1"/><i><font color="Green">E32</font></i>: 
<span class="p1"><a href="altcat_1.html#K1">&lt;^</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">F1</font> <a href="functor0.html#K3">.</a> <font color="Maroon">a</font></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">F2</font> <a href="functor0.html#K3">.</a> <font color="Maroon">a</font></span>)</span></span><a href="altcat_1.html#K1">^&gt;</a></span> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a> 
 <b>by </b><i>, <a class="ref" href="functor2.html#D1">FUNCTOR2:def 1</a></i>;<br/><b>thus </b><span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="functor0.html#K12">id</a> <font color="Maroon">B</font></span>)</span> <a href="functor3.html#K5" target="_self">*</a> <font color="Maroon">p</font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">i</font> = 
<span class="p1">(<span class="default"><a href="functor0.html#K12">id</a> <font color="Maroon">B</font></span>)</span> <a href="functor0.html#K6">.</a> <span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="functor2.html#K2">!</a> <font color="Maroon">a</font></span>)</span>
<b>by </b><i>, </i>
<br/>.= 
<font color="Maroon">p</font> <a href="functor2.html#K2">!</a> <font color="Maroon">a</font>
<b>by </b><i>, <a class="ref" href="functor0.html#T32">FUNCTOR0:32</a></i>
<br/>.= 
<font color="Maroon">p</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">i</font>
<b>by </b><i>, <a class="ref" href="functor2.html#D4">FUNCTOR2:def 4</a></i>
;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E3:35"/>
<span class="p1">(<span class="default"><a href="functor0.html#K12">id</a> <font color="Maroon">B</font></span>)</span> <a href="functor3.html#K5" target="_self">*</a> <font color="Maroon">p</font> <a href="pboole.html#R6">=</a> <font color="Maroon">p</font>
 <b>by </b><i><a class="ref" href="pboole.html#T3">PBOOLE:3</a></i>;<br/>


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